Question

Help for 17 points. Easy

Answer 1

The exponential function that represents the table is $y =2\times 2^x$

What is an exponential function?

An exponential function is any function that has its constant raised to the power of an argument.

An exponential function is represented as:

$y = ab^x$

Where:

• a represents the initial value
• b represents the rate

From the table we have the following ordered pair

(x,y) = {(0,2) (1,8)}

So, we have:

$y = ab^x$

$2 = a \times b^0$

$a = 2$

Also, we have:

$y = ab^x$

$8 = 2 \times b^1$

$8 = 2 \times b$

Divide both sides by 2

$b =4$

So, we have:

$y = ab^x$

$y =2\times 2^x$

Hence, the exponential function is:

$y =2\times 2^x$

Read more about exponential functions at:

brainly.com/question/11464095